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# If a apple costs c cents, how many apples can be bought for d dollars

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Manager
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If a apple costs c cents, how many apples can be bought for d dollars  [#permalink]

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Updated on: 12 Sep 2016, 18:50
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Difficulty:

45% (medium)

Question Stats:

60% (01:13) correct 40% (01:28) wrong based on 121 sessions

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Hello Everyone,

Can anyone explain how to solve the following problem.

Question: If a apple costs c cents, how many apples can be bought for d dollars ?

(A) 100acd

(B) $$\frac{100d}{ac}$$

(C) $$\frac{ad}{100c}$$

(D) $$\frac{c}{100ad}$$

(E) $$\frac{100ad}{c}$$

Thanks,

GR

Originally posted by greatchap on 08 Sep 2016, 22:03.
Last edited by greatchap on 12 Sep 2016, 18:50, edited 1 time in total.
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Re: If a apple costs c cents, how many apples can be bought for d dollars  [#permalink]

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08 Sep 2016, 22:29
What is a ? Is it number of apples that can be bought for c Cents ?

Also, 1 $= 100 Cents _________________ "If we hit that bullseye, the rest of the dominos will fall like a house of cards. Checkmate." EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 12444 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If a apple costs c cents, how many apples can be bought for d dollars [#permalink] ### Show Tags 08 Sep 2016, 22:30 Hi greatchap, I have to ask if the prompt has been transcribed correctly. The answer choices all include the variable "A", which does NOT appear in the prompt. Given the inclusion of that variable, I have to assume that the original prompts stated that "A apples cost C cents..."; given that interpretation, here's how you could answer the question... We're told that A apples costs C CENTS. We're asked how many apples can be bought for D DOLLARS. IF... A = 2 C = 2 D = 3 then 2 apples cost 2 cents, you can buy 100 apples for 1 dollar and 300 apples for 3 dollars. So we're looking for an answer that equals 300 when we plug in those 3 values... There's only one answer that matches. Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Manager
Joined: 14 May 2007
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Location: India
Re: If a apple costs c cents, how many apples can be bought for d dollars  [#permalink]

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09 Sep 2016, 02:27
EMPOWERgmatRichC wrote:
Hi greatchap,

I have to ask if the prompt has been transcribed correctly. The answer choices all include the variable "A", which does NOT appear in the prompt. Given the inclusion of that variable, I have to assume that the original prompts stated that "A apples cost C cents..."; given that interpretation, here's how you could answer the question...

We're told that A apples costs C CENTS. We're asked how many apples can be bought for D DOLLARS.

IF...
A = 2
C = 2
D = 3
then 2 apples cost 2 cents, you can buy 100 apples for 1 dollar and 300 apples for 3 dollars. So we're looking for an answer that equals 300 when we plug in those 3 values... There's only one answer that matches.

GMAT assassins aren't born, they're made,
Rich

Thank you. Is the best way to solve such problem is to plug in values in all answer choices?
CEO
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Posts: 2889
Re: If a apple costs c cents, how many apples can be bought for d dollars  [#permalink]

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09 Sep 2016, 06:21
Top Contributor
I have edited the question to reflect the answer choices.

greatchap wrote:
If a apples cost c cents, how many apples can be bought for d dollars ?

(A) 100acd

(B) $$\frac{100d}{ac}$$

(C) $$\frac{ad}{100c}$$

(D) $$\frac{c}{100ad}$$

(E) $$\frac{100ad}{c}$$

We can also solve the question using equivalent ratios.

Use the ratio number of apples/cost in DOLLARS

First, notice that c DOLLARS is 100 times more than c CENTS
So, if we can buy a apples for c cents, then we can buy 100a apples for c DOLLARS

Let x = the number of apples that we can by for d dollars
We can now set up two equivalent ratios.
100a/c = x/d
Cross-multiply to get: (100a)(d) = cx
Divide both sides by c to get: 100ad/c = x

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Re: If a apple costs c cents, how many apples can be bought for d dollars  [#permalink]

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09 Sep 2016, 06:31
It seems a wrong question. We cannot assume on our own that a is for the number of apples.

Please check the question again and post the correct one.
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Re: If a apple costs c cents, how many apples can be bought for d dollars  [#permalink]

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09 Sep 2016, 11:31
Hi greatchap,

TESTing VALUES is a remarkably useful approach in the Quant section of the GMAT. You could easily use this one Tactic on over half of the questions in that section, so it's an approach that you should plan to learn and practice often during your studies.

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Re: If a apple costs c cents, how many apples can be bought for d dollars  [#permalink]

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12 Sep 2016, 18:52
Thank you. I have also edited the question and put in a apple in place of an apple.
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Re: If a apple costs c cents, how many apples can be bought for d dollars  [#permalink]

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02 Jul 2018, 09:48
greatchap wrote:
Hello Everyone,

Can anyone explain how to solve the following problem.

Question: If a apple costs c cents, how many apples can be bought for d dollars ?

(A) 100acd

(B) $$\frac{100d}{ac}$$

(C) $$\frac{ad}{100c}$$

(D) $$\frac{c}{100ad}$$

(E) $$\frac{100ad}{c}$$

Since each apple costs c/a cents, d dollars (or 100d cents) can buy (100d)/(c/a) = 100d x a/c = 100ad/c apples.

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Re: If a apple costs c cents, how many apples can be bought for d dollars &nbs [#permalink] 02 Jul 2018, 09:48
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